Limits of manifolds with a Kato bound on the Ricci curvature

Gilles Carron, Ilaria Mondello, David Tewodrose

We study the structure of Gromov-Hausdorff limits of sequences of Riemannian manifolds $\{(M_{\alpha }^n,g_{\alpha }){\}}_{\alpha \in A}$ whose Ricci curvature satisfies a uniform Kato bound. We first obt…